Find the derivative of the function f(x,y) = x +xy + y at the point (- 2,- 1) in the direction in which the function decreases most rapidly.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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Find the derivative of the function f(x,y)=x +xy +y
2.
.2
at the point (- 2,- 1) in the direction in which the function decreases most rapidly.
O A. - V83
O B. -3/6
O C. -77
O D. - V41
Transcribed Image Text:Find the derivative of the function f(x,y)=x +xy +y 2. .2 at the point (- 2,- 1) in the direction in which the function decreases most rapidly. O A. - V83 O B. -3/6 O C. -77 O D. - V41
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